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Zbl 0997.34048
Banaś, Józef; Lecko, Millenia
Solvability of infinite systems of differential equations in Banach sequence spaces.
(English)
[J] J. Comput. Appl. Math. 137, No.2, 363-375 (2001). ISSN 0377-0427

Here, the authors give conditions for the solvability of infinite systems of ordinary differential equations in the classical Banach spaces $c_0, c$ and $\ell^1.$ The results create realizations of existence results obtained for ordinary differential equations in Banach spaces with the help of the measure of noncompactness. Particularly, they present existence results for infinite systems of differential equations formulated with the help of convenient and handy conditions. Examples from numerous real world problems illustrate the results.
[S.K.Ntouyas (Ioannina)]
MSC 2000:
*34G20 Nonlinear ODE in abstract spaces

Keywords: differential equations; measure of noncompactness; row-finite system

Cited in: Zbl 1256.47060

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